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    Class UpperTriangularMatrix

    Upper triangular matrix class

    Inheritance
    Object
    Matrix
    UpperTriangularMatrix
    Implements
    IList<Double>
    ICollection<Double>
    IReadOnlyList<Double>
    IReadOnlyCollection<Double>
    IEnumerable<Double>
    IEnumerable
    ICloneable
    SettableTo<Matrix>
    CanSetAllElementsTo<Double>
    Inherited Members
    Matrix.data
    Matrix.rows
    Matrix.cols
    Matrix.Item[Int32, Int32]
    Matrix.Item[Int32]
    Matrix.RowVector(Int32)
    Matrix.Rows
    Matrix.Cols
    Matrix.SourceArray
    Matrix.Count
    Matrix.GetEnumerator()
    Matrix.IEnumerable.GetEnumerator()
    Matrix.Contains(Double)
    Matrix.CopyTo(Double[], Int32)
    Matrix.ICollection<Double>.IsReadOnly
    Matrix.ICollection<Double>.Add(Double)
    Matrix.ICollection<Double>.Clear()
    Matrix.ICollection<Double>.Remove(Double)
    Matrix.IndexOf(Double)
    Matrix.IList<Double>.Insert(Int32, Double)
    Matrix.IList<Double>.RemoveAt(Int32)
    Matrix.FromArray(Double[,])
    Matrix.ToArray()
    Matrix.CopyTo(Double[,])
    Matrix.SetTo(Matrix)
    Matrix.SetAllElementsTo(Double)
    Matrix.EqualsAll(Double)
    Matrix.SetTo(Double[])
    Matrix.SetTo(Double[], Int32)
    Matrix.SetTo(Double[,])
    Matrix.SymmetryError()
    Matrix.Symmetrize()
    Matrix.SetToIdentity()
    Matrix.SetToIdentityScaledBy(Double)
    Matrix.Identity(Int32)
    Matrix.IdentityScaledBy(Int32, Double)
    Matrix.SetToTranspose(Matrix)
    Matrix.SetToSubmatrix(Matrix, Int32, Int32)
    Matrix.SetSubmatrix(Int32, Int32, Matrix)
    Matrix.SetSubmatrix(Int32, Int32, Matrix, Int32, Int32, Int32, Int32)
    Matrix.SetToDiagonal(Vector)
    Matrix.SetDiagonal(Vector)
    Matrix.FromDiagonal(Vector)
    Matrix.Diagonal()
    Matrix.EnumerateDiagonal()
    Matrix.TraceOfProduct(Matrix, Matrix)
    Matrix.DiagonalOfProduct(Matrix, Matrix)
    Matrix.Scale(Double)
    Matrix.ScaleRows(Vector)
    Matrix.ScaleCols(Vector)
    Matrix.Median()
    Matrix.SetToElementwiseProduct(Matrix, Matrix)
    Matrix.SetToElementwiseRatio(Matrix, Matrix)
    Matrix.SetToProduct(Matrix, Double)
    Matrix.SetToProduct(Matrix, Matrix)
    Matrix.SetToOuter(Matrix)
    Matrix.Outer()
    Matrix.SetToOuterTranspose(Matrix)
    Matrix.OuterTranspose()
    Matrix.SetToOuter(Vector, Vector)
    Matrix.SetToSumWithOuter(Matrix, Double, Vector, Vector)
    Matrix.QuadraticForm(Vector)
    Matrix.QuadraticForm(Vector, Vector)
    Matrix.SetToSum(Matrix, Matrix)
    Matrix.SetToSum(Double, Matrix, Double, Matrix)
    Matrix.SetToDifference(Matrix, Matrix)
    Matrix.SetToDifference(Matrix, Double, Matrix)
    Matrix.Equals(Object)
    Matrix.GetHashCode()
    Matrix.CheckCompatible(Matrix, String)
    Matrix.CheckSymmetry(String)
    Matrix.MaxDiff(Matrix)
    Matrix.MaxDiff(Matrix, Double)
    Matrix.ToString()
    Matrix.ToString(String)
    Matrix.Parse(String)
    Matrix.IsPositiveDefinite()
    Matrix.Trace()
    Matrix.Inverse()
    Matrix.Inner(Matrix)
    Matrix.SetToKronecker(Matrix, Matrix)
    Matrix.Kronecker(Matrix)
    Matrix.Commutation(Int32, Int32)
    Matrix.PredivideBy(UpperTriangularMatrix)
    Matrix.PredivideByTranspose(LowerTriangularMatrix)
    Matrix.PredivideBy(LowerTriangularMatrix)
    Matrix.PredivideBy(PositiveDefiniteMatrix)
    Matrix.SetToLeastSquares(Matrix, Matrix)
    Matrix.SetToEigenvectorsOfSymmetric(Matrix)
    Matrix.SetToRightSingularVectors(Matrix)
    Matrix.EigenvaluesInPlace(Double[], Double[])
    Matrix.GetColumn(Int32)
    Matrix.GetRow(Int32)
    Object.Equals(Object, Object)
    Object.GetType()
    Object.MemberwiseClone()
    Object.ReferenceEquals(Object, Object)
    Namespace: Microsoft.ML.Probabilistic.Math
    Assembly: Microsoft.ML.Probabilistic.dll
    Syntax
    [DataContract]
    public class UpperTriangularMatrix : Matrix, IList<double>, ICollection<double>, IReadOnlyList<double>, IReadOnlyCollection<double>, IEnumerable<double>, IEnumerable, ICloneable, SettableTo<Matrix>, CanSetAllElementsTo<double>

    Constructors

    UpperTriangularMatrix()

    Default constructor just used for serialization.

    Declaration
    protected UpperTriangularMatrix()

    UpperTriangularMatrix(Double[,])

    Constructs a matrix from data in a 2D array.

    Declaration
    public UpperTriangularMatrix(double[, ] data)
    Parameters
    Type Name Description
    Double[,] data

    2D array of elements.

    Remarks

    The 2D array is copied into new storage. The size of the matrix is taken from the array.

    UpperTriangularMatrix(Int32, Int32)

    Constructs a zero matrix of the given dimensions.

    Declaration
    public UpperTriangularMatrix(int nRows, int nCols)
    Parameters
    Type Name Description
    Int32 nRows

    Number of rows >= 0.

    Int32 nCols

    Number of columns >= 0.

    UpperTriangularMatrix(Int32, Int32, Double[])

    Constructs a matrix by referencing an array.

    Declaration
    public UpperTriangularMatrix(int nRows, int nCols, double[] data)
    Parameters
    Type Name Description
    Int32 nRows

    Number of rows.

    Int32 nCols

    Number of columns.

    Double[] data

    Storage for the matrix elements.

    Methods

    CheckUpperTriangular()

    Check that this matrix is upper triangular

    Declaration
    public void CheckUpperTriangular()

    Clone()

    Creates a full clone of this upper triangular matrix

    Declaration
    public override object Clone()
    Returns
    Type Description
    Object
    Overrides
    Matrix.Clone()

    Determinant()

    Returns the determinant of this upper-triangular matrix.

    Declaration
    public double Determinant()
    Returns
    Type Description
    Double

    The determinant of this.

    LogDeterminant()

    Returns the natural logarithm of the determinant of this upper-triangular matrix.

    Declaration
    public double LogDeterminant()
    Returns
    Type Description
    Double

    The log-determinant of this.

    ProdDiag()

    Returns the product of diagonal elements.

    Declaration
    public double ProdDiag()
    Returns
    Type Description
    Double

    prod(diag(this)).

    TraceLn()

    Returns the sum of the logarithm of diagonal elements.

    Declaration
    public double TraceLn()
    Returns
    Type Description
    Double

    sum(log(diag(this))).

    Transpose()

    Return the transpose of this upper triangular matrix

    Declaration
    public LowerTriangularMatrix Transpose()
    Returns
    Type Description
    LowerTriangularMatrix

    TransposeInPlace(LowerTriangularMatrix)

    Transposes a given lower triangular matrix in place.

    Declaration
    public static UpperTriangularMatrix TransposeInPlace(LowerTriangularMatrix L)
    Parameters
    Type Name Description
    LowerTriangularMatrix L

    Matrix to transpose. Contents are corrupted on exit.

    Returns
    Type Description
    UpperTriangularMatrix

    An upper triangular wrapper of L's source array.

    Remarks

    L is no longer a valid lower triangular matrix.

    Implements

    System.Collections.Generic.IList<T>
    System.Collections.Generic.ICollection<T>
    System.Collections.Generic.IReadOnlyList<T>
    System.Collections.Generic.IReadOnlyCollection<T>
    System.Collections.Generic.IEnumerable<T>
    System.Collections.IEnumerable
    System.ICloneable
    SettableTo<T>
    CanSetAllElementsTo<T>

    Extension Methods

    CollectionExtensions.AddRange<T>(ICollection<T>, IEnumerable<T>)
    CollectionExtensions.ContainsAll<T>(ICollection<T>, IEnumerable<T>)
    CollectionExtensions.ContainsAny<T>(ICollection<T>, IEnumerable<T>)
    EnumerableExtensions.ForEach<T>(IEnumerable<T>, Action<T>)
    EnumerableExtensions.ForEach<T>(IEnumerable, Action<T>)
    EnumerableExtensions.ForEach<T>(IEnumerable<T>, Action<Int32, T>)
    EnumerableExtensions.ForEach<T>(IEnumerable, Action<Int32, T>)
    EnumerableExtensions.Sum<TSource>(IEnumerable<TSource>, Func<TSource, UInt32>)
    EnumerableExtensions.Sum<TSource>(IEnumerable<TSource>, Func<TSource, UInt64>)
    EnumerableExtensions.ValueEquals<T>(IEnumerable<T>, IEnumerable<T>)
    EnumerableExtensions.IndexOf<T>(IEnumerable<T>, T)
    EnumerableExtensions.IndexOf<T>(IEnumerable, T)
    EnumerableExtensions.FindIndex<T>(IEnumerable<T>, Predicate<T>)
    EnumerableExtensions.FindIndex<T>(IEnumerable, Predicate<T>)
    EnumerableExtensions.FindAllIndex<T>(IEnumerable<T>, Predicate<T>)
    EnumerableExtensions.IndexOfAll<T>(IEnumerable<T>, T)
    EnumerableExtensions.Skip<T>(IEnumerable<T>, Int32, out List<T>)
    EnumerableExtensions.CopyTo<T>(IEnumerable<T>, T[], Int32)
    EnumerableExtensions.ToReadOnlyList<T>(IEnumerable<T>)
    IEnumerableExensions.EnumerableReduce<T, TRes>(IEnumerable<T>, TRes, Func<TRes, T, TRes>, Func<TRes, T, Int32, TRes>)
    IEnumerableExensions.EnumerableSum<T>(IEnumerable<T>, Func<T, Double>)
    IEnumerableExensions.ListZip<TFirst, TSecond, TResult>(IList<TFirst>, IEnumerable<TSecond>, Func<TFirst, TSecond, TResult>)
    IEnumerableExensions.ListZip<TFirst, TSecond, TThird, TResult>(IList<TFirst>, IEnumerable<TSecond>, IEnumerable<TThird>, Func<TFirst, TSecond, TThird, TResult>)
    IEnumerableExensions.ListZip<TFirst, TSecond, TThird, TFourth, TResult>(IList<TFirst>, IList<TSecond>, IList<TThird>, IList<TFourth>, Func<TFirst, TSecond, TThird, TFourth, TResult>)
    IListExtensions.IsSparse<T>(IList<T>)
    IListExtensions.ListSelect<T, T2>(IList<T>, Func<T, T2>)
    IListExtensions.ListReduce<T, TRes>(IList<T>, TRes, Func<TRes, T, TRes>)
    IListExtensions.ListReduce<T, T2, TRes>(IList<T>, IEnumerable<T2>, TRes, Func<TRes, T, T2, TRes>)
    IListExtensions.ToVector(IList<Double>)
    IListExtensions.SetTo<T>(IList<T>, IEnumerable<T>)
    IListExtensions.SetTo(IList<Double>, IEnumerable<Double>)
    IListExtensions.AsReadOnly<T>(IList<T>)
    ReadOnlyArray.ToReadOnlyArray<T>(IEnumerable<T>)
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